The artistic director of the ensemble is singer, musicologist and harpist Barbora Kabátková (b. Sojková).

Concert programmes are devoted not only to vocal-instrumental compositions of the Middle Ages but also to non-traditional projects combining Medieval music with other musical genres.

The ensemble performs with various casts: the permanent members are: Ivana Bilej Brouková (soprano), Hana Blažíková (soprano, medieval harps), Marta Fadljevičová (mezzosoprano), Anna Chadimová Havlíková (mezzosoprano), Renata Zafková (soprano), Barbora Kabátková (soprano, artistic director, dramaturgy, medieaval harps, psaltery), Daniela Čermáková (alto) and Tereza Havlíková (soprano).

The ensemble performs at leading concert venues all over Europe.

In 2011 it released its first compact disc, Flos inter spinas (Blossoms among the Thorns) on the Supraphon label; the second compact disc, Apokalypsis, was released on Animal Music label in 2013, the album “Ego sum homo” is its third (August 2017, Ricercar label) and the album "Vidi Speciosam" with music of T. L. Vitoria is the last one in this moment (April 2018, Sony/Deutsche Harmonia Mundi). The ensemble took its name from a figure in Medieval history: Tiburtina (or the Tiburtine Sibyl) was a prophetess who became the best known sibyl of the Middle Ages mainly because her oracles were closely connected to Christianity. The parallels between the pagan sibyl and the Christian prophetess are obvious: their noble origin, their preaching expeditions, inquiries from persons in positions of power, and the ability to see all the way to the end of the world, something which was denied to men however learned they might be.